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Reduction of numerical dispersion by optimizing second-order cross product derivative term in the ADI-FDTD method

✍ Scribed by Ki-Bok Kong; Jong-Sung Kim; Seong-Ook Park

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 306 KB
Volume: 50
Category: Article
ISSN: 0895-2477
DOI: 10.1002/mop.22991

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✦ Synopsis

Abstract

We propose a new adaptive alternating‐direction implicit finite‐difference time‐domain (ADI‐FDTD) to reduce the anisotropy in the numerical phase velocities. The proposed form has two anisotropic parameters on the first order terms of the time step and one parameter on the second order term of the time step. We introduce a new approach of reducing the error of the numerical phase velocity by controlling the three parameters. The numerical stability is discussed and compared with the previous approach of reducing the numerical dispersion. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 50: 123–127, 2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22991

📜 SIMILAR VOLUMES

ADI-FDTD method perturbed by the second

ADI-FDTD method perturbed by the second order cross derivative terms

✍ Ki-Bok Kong; Jong-Sung Kim; Seong-Ook Park 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 417 KB

## Abstract A two‐step FDTD method as a compromise of conditional stability and reduced splitting error is formulated and its numerical stability is investigated. It is the perturbed form to the ADI‐FDTD method by the addition of second order cross derivative term. It is validated from the comparis